Pith Number

pith:57ZRZFXH

pith:2016:57ZRZFXHAHODDI2QJZGY3GSYYS

not attested not anchored not stored refs pending

Higher-order organization of complex networks

Austin R. Benson, David F. Gleich, Jure Leskovec

arxiv:1612.08447 v1 · 2016-12-26 · cs.SI · cs.DM · physics.soc-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{57ZRZFXHAHODDI2QJZGY3GSYYS}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:26:46.638663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eff31c96e701dc31a3504e4d8d9a58c4984c04f4eff42e9b4345a6ff899520a8

Aliases

arxiv: 1612.08447 · arxiv_version: 1612.08447v1 · doi: 10.48550/arxiv.1612.08447 · pith_short_12: 57ZRZFXHAHOD · pith_short_16: 57ZRZFXHAHODDI2Q · pith_short_8: 57ZRZFXH

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/57ZRZFXHAHODDI2QJZGY3GSYYS \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: eff31c96e701dc31a3504e4d8d9a58c4984c04f4eff42e9b4345a6ff899520a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6f47a541ce51870be6d52c2433dcade613a7a2f8c1024e4c1d2598b8963e91c",
    "cross_cats_sorted": [
      "cs.DM",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2016-12-26T21:50:42Z",
    "title_canon_sha256": "5959d53a6b43393dd5ec29f23f38ca81cd465ffd1882d5034fc2f87d5d2ce320"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08447",
    "kind": "arxiv",
    "version": 1
  }
}